According to this diagram, what is tan 67° ?

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Zanzabum3 years ago

6 0

Answer:

B. 12/5

Step-by-step explanation:

tan=opp. leg/adj. leg

tan 67= 12/5

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Point x is at 2/3 on number line. On the same number line point y is the same distance from 0 as point x but has a numberator of

Yanka [14]

Answer: The answer is 12.

Step-by-step explanation: Given that a point 'x' is lying at $\dfrac{2}{3}$ on the number line. Another point 'y' is also lying at the same distance from 0 but has a numerator of 8. We are to find the denominator of 'y'.

Since 'x' is lying at $\dfrac{2}{3}$ on the number line so its distance from 0 will be

$d_x=\dfrac{2}{3}-0=\dfrac{2}{3}.$

Let the denominator of 'y' be p, then its distance from 0 will be

$d_y=\dfrac{8}{p}-0=\dfrac{8}{p}.$

According to the given information, we must have

$d_x=d_y\\\\\\\Rightarrow \dfrac{2}{3}=\dfrac{8}{p}\\\\\\\Rightarrow p=\dfrac{8\times 3}{2}=12.$

Thus, the denominator will be 12.

4 0

3 years ago

You have a six-sided die that you roll once. Let Ri denote the event that the roll is i. Let G j denote the event that the roll

Misha Larkins [42]

Answer:

a. $P (R3 | G1)=\frac{1}{5}$

b. $P (R6| G3)= \frac{1}{3}$

c. $P(G3|E)=\frac{2}{3}$

d. $P (E|G3)=\frac{2}{3}$

Step-by-step explanation:

The sample space associated with the random experiment of throwing a dice is is the equiprobable space {R1, R2, R3, R4, R5, R6}. Then,

a. The conditional probability that 3 is rolled given that the roll is greater than 1? $P (R3 | G1) = \frac{P (R3\bigcap G1)}{P(G1)} = \frac{1/6}{5/6} = \frac{1}{5}$

b. What is the conditional probability that 6 is rolled given that the roll is greater than 3? $P (R6| G3) = \frac{P (R6\bigcap G3)}{P(G3)} = \frac{1/6}{3/6} = \frac{1}{3}$

c. What is P [GIE], the conditional probability that the roll is greater than 3 given that the roll is even? $P(G3|E) = \frac{P (G3\bigcap E)}{P(E)} = \frac{2/6}{3/6} = \frac{2}{3}$

d. Given that the roll is greater than 3, what is the conditional probability that the roll is even? $P (E|G3) = \frac{P (E\bigcap G3)}{P(G3)} = \frac{2/6}{3/6} = \frac{2}{3}$